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Any number will be a rational number when multiplied.0 multiplied by any real number is rational and so it will produce a rational number when multiplied.

If x is any non-zero number (rational or not), then since it is non-zero, 1/x is defined and x*(1/x) = 1 which is rational. So any non-zero number will produce a rational number when multiplied.

Thus any number will produce a rational number when multiplied.

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Q: What numbers will produce a rational number when multiplied?

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The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.

Every rational number does.

Any other rational number.

It is the square of the rational number.

If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.

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Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.

Yes. Since 0.555 and 0.5 are both rational numbers, their product will be rational.

The answer will depend on what it is to be multiplied by. Since this part is missing from the question, it is not possible to give a sensible answer.

The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.

Every rational number does.

Please don't write "the following" if you don't provide a list. Any rational number will work in this case. Any irrational number will not.

Any and every rational number.

It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.

Any other rational number.

Every irrational number, when multiplied by 0.5 will produce an irrational number.

Any other rational number.

Every irrational number, when multiplied by 0.4 will produce an irrational number.